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Finding the Fourth Proportional to 3,518.98, 5,278.57 and 1,053.74

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Solution

The fourth proportional to 3,518.98, 5,278.57 and 1,053.74 is: 1,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.98 : 5,278.57 = 1,053.74 : x
  2. Step 2: Convert to fraction form
    3,518.98/5,278.57 = 1,053.74/x
  3. Step 3: Cross multiply
    3,518.98x = 5,278.57 × 1,053.74
  4. Step 4: Simplify right side
    3,518.98x = 5,562,250.91
  5. Step 5: Solve for x
    x = 5,562,250.91/3,518.98
  6. Step 6: Final answer
    x = 1,580.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.